1010330003112 has 96 divisors (see below), whose sum is σ = 2599080216480. Its totient is φ = 327272050560.

The previous prime is 1010330003107. The next prime is 1010330003131. The reversal of 1010330003112 is 2113000330101.

It is a junction number, because it is equal to n+sod(n) for n = 1010330003091 and 1010330003100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8684287 + ... + 8799857.

It is an arithmetic number, because the mean of its divisors is an integer number (27073752255).

Almost surely, 2^{1010330003112} is an apocalyptic number.

1010330003112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010330003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299540108240).

1010330003112 is an abundant number, since it is smaller than the sum of its proper divisors (1588750213368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010330003112 is a wasteful number, since it uses less digits than its factorization.

1010330003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115863 (or 115816 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1010330003112 its reverse (2113000330101), we get a palindrome (3123330333213).

The spelling of 1010330003112 in words is "one trillion, ten billion, three hundred thirty million, three thousand, one hundred twelve".